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Multinode finite element based on boundary integral equations
Author(s) -
Bulgakov Vitaly E.,
Bulgakova Marina V.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19981015)43:3<533::aid-nme440>3.0.co;2-v
Subject(s) - boundary element method , finite element method , stiffness matrix , extended finite element method , mathematics , mathematical analysis , boundary knot method , mixed finite element method , boundary (topology) , element (criminal law) , method of fundamental solutions , matrix (chemical analysis) , basis (linear algebra) , integral equation , thermal conduction , boundary value problem , geometry , structural engineering , engineering , physics , materials science , political science , law , composite material , thermodynamics
A finite element constructed on the basis of boundary integral equations is proposed. This element has a flexible shape and arbitrary number of nodes. It also has good approximation properties. A procedure of constructing an element stiffness matrix is demonstrated first for one‐dimensional case and then for two‐dimensional steady‐state heat conduction problem. Numerical examples demonstrate applicability and advantages of the method. © 1998 John Wiley & Sons, Ltd.